If the radius of a circle is 3 meters, how long is the arc subtended by an angle measuring 30°?

Solution:

We know that

The perimeter of a circle = 2πr

Where r is the radius of the circle

Here

A complete circle is made by 360° angle = 2πr

The arc length made by 1° angle = 2πr/360°

The arc length made by 30° angle = [2πr/360°] × 30°

By further calculation

= [(2 × π × 3)/360°] × 30°

So we get

= 1.57 meters

Therefore, arc length subtended by 30° angle is 1.57 meters.

If the radius of a circle is 3 meters, how long is the arc subtended by an angle measuring 30°?

Summary:

If the radius of a circle is 3 meters, the length of the arc subtended by an angle measuring 30° is 1.57 meters.